Items where Author, Editor or other role is "Clarkson, Peter"

A

Ankiewicz, Adrian, Bassom, Andrew P., Clarkson, Peter, Dowie, Ellen (2017) Conservation Laws and Integral Relations for the Boussinesq Equation. Studies in Applied Mathematics, 139 (1). pp. 104-128. ISSN 0022-2526. E-ISSN 1467-9590. (doi:10.1111/sapm.12174) (KAR id:61648)

Ankiewicz, Adrian and Bassom, Andrew and Clarkson, Peter and Dowie, Ellen (2016) Conservation laws and integral relations for the Boussinesq equation. [Preprint] (doi:10.48550/arXiv.1611.09505) (KAR id:59908)

Ankiewicz, Adrian, Clarkson, Peter, Akhmediev, Nail (2010) Rogue waves, rational solutions, the patterns of their zeros and integral relations. Journal of Physics A: Mathematical and Theoretical, 43 (12). p. 122002. ISSN 1751-8113. (doi:10.1088/1751-8113/43/12/122002) (KAR id:23851)

Ablowitz, M.J., Clarkson, Peter (1999) Solitons and symmetries. Journal of Engineering Mathematics, 36 (1-2). pp. 1-9. ISSN 0022-0833. (doi:10.1023/A:1004581620608) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:17004)

B

Bila, Nicoleta, Mansfield, Elizabeth L., Clarkson, Peter (2006) Symmetry group analysis of the shallow water and semi-geostrophic equations. Quarterly Journal of Mechanics and Applied Mathematics, 59 (1). pp. 95-123. ISSN 0033-5614. (doi:10.1093/qjmam/hbi033) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3856)

Bruzón, M.S., Clarkson, Peter, Gandarias, M.L., Medina, E. (2001) The symmetry reductions of a turbulence model. Journal of Physics A: Mathematical and General, 34 (18). pp. 3751-3760. ISSN 0305-4470. (doi:10.1088/0305-4470/34/18/304) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3854)

Bassom, Andrew P., Clarkson, Peter, Law, C.K., McLeod, J. Bryce (1998) Application of uniform asymptotics to the second painleve transcendent. Archive for Rational Mechanics and Analysis, 143 (3). pp. 241-71. ISSN 0003-9527. (doi:10.1007/s002050050105) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:17573)

Bassom, Andrew P., Clarkson, Peter, Hicks, Andrew C. (1995) Backlund-Transformations and Solution Hierarchies for the 4th Painleve Equation. Studies in Applied Mathematics, 95 (1). pp. 1-71. ISSN 0022-2526. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:19689)

C

Clarkson, Peter, Dunning, Clare (2023) Rational Solutions of the Fifth Painleve Equation. Generalised Laguerre Polynomials. Studies in Applied Mathematics, 152 (1). pp. 453-507. ISSN 0022-2526. E-ISSN 1467-9590. (doi:10.1111/sapm.12649) (KAR id:103386)

Clarkson, Peter, Law, Chun-Kong, Lin, Chia-Hua (2023) A Constructive Proof for the Umemura Polynomials of the for the third Painlevé equation. Symmetry, Integrability and Geometry: Methods and Applications, 19 . Article Number 080. ISSN 1815-0659. (doi:10.3842/SIGMA.2023.080) (KAR id:103469)

Clarkson, Peter, Jordaan, Kerstin, Loureiro, Ana F. (2023) Generalized higher-order Freud weights. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 479 (2272). Article Number 20220788. ISSN 1364-5021. (doi:10.1098/rspa.2022.0788) (KAR id:100979)

Clarkson, Peter (2023) Classical solutions of the Degenerate Fifth Painlevé Equation. Journal of Physics A: Mathematical and Theoretical, 56 (13). Article Number 134002. ISSN 1751-8113. E-ISSN 1751-8121. (doi:10.1088/1751-8121/acbef1) (KAR id:100232)

Clarkson, Peter, Jordaan, Kerstin (2021) A generalized sextic Freud weight. Integral Transforms and Special Functions, 32 (5-8). pp. 458-482. ISSN 1065-2469. (doi:10.1080/10652469.2020.1798949) (KAR id:82162)

Clarkson, Peter A., Jordaan, Kerstin (2021) Generalised Airy polynomials. Journal of Physics A: Mathematical and Theoretical, . ISSN 1751-8113. E-ISSN 1751-8121. (doi:10.1088/1751-8121/abf019) (KAR id:87261)

Clarkson, Peter A., Gómez‐Ullate, David, Grandati, Yves, Milson, Robert (2020) Cyclic Maya diagrams and rational solutions of higher order Painlevé systems. Studies in Applied Mathematics, 144 (3). pp. 357-385. ISSN 0022-2526. (doi:10.1111/sapm.12300) (KAR id:79688)

Clarkson, Peter (2019) Open Problems for Painlevé Equations. Symmetry, Integrability and Geometry: Methods and Applications, 15 . Article Number 006. ISSN 1815-0659. (doi:10.3842/SIGMA.2019.006) (KAR id:72087)

Clarkson, Peter A., Daalhuis, Adri B. Olde (2018) Preface: Orthogonal polynomials, special functions, and applications. Studies in Applied Mathematics, 141 (4). pp. 421-423. ISSN 0022-2526. (doi:10.1111/sapm.12244) (KAR id:70096)

Clarkson, Peter, Jordaan, Kerstin (2017) Properties of Generalized Freud Polynomials. Journal of Approximation Theory, 225 . pp. 148-175. ISSN 0021-9045. (doi:10.1016/j.jat.2017.10.001) (KAR id:64055)

Clarkson, Peter, Dowie, Ellen (2017) Rational solutions of the Boussinesq equation and applications to rogue waves. Transactions of Mathematics and Its Applications, 1 (1). ISSN 2398-4945. E-ISSN 2398-4945. (doi:10.1093/imatrm/tnx003) (KAR id:64073)

Clarkson, Peter and Dowie, Ellen (2017) Rational solutions of the Boussinesq equation and applications to rogue waves. [Preprint] (doi:10.48550/arXiv.1609.00503) (KAR id:59906)

Clarkson, Peter (2016) On Airy Solutions of the Second Painleve Equation. Studies in Applied Mathematics, 137 (1). pp. 93-109. ISSN 0022-2526. (doi:10.1111/sapm.12123) (KAR id:51255)

Clarkson, Peter, Loureir0, Ana F., Van Assche, Walter (2016) Unique positive solution for an alternative discrete Painlevé I equation. Journal of Difference Equations and Applications, 22 (5). pp. 656-675. ISSN 1023-6198. E-ISSN 1563-5120. (doi:10.1080/10236198.2015.1127917) (KAR id:51098)

Clarkson, Peter, Jordaan, Kerstin, Kelil, Abey (2015) A Generalized Freud Weight. Studies in Applied Mathematics, 136 (3). pp. 288-320. ISSN 0022-2526. E-ISSN 1467-9590. (doi:10.1111/sapm.12105) (KAR id:51095)

Clarkson, Peter, Jordaan, Kerstin (2013) The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation. Constructive Approximation, 39 (1). pp. 223-254. ISSN 0176-4276. (doi:10.1007/s00365-013-9220-4) (KAR id:51256)

Clarkson, Peter (2013) Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations. Journal of Physics A: Mathematical and Theoretical, 46 (18). ISSN 1751-8113. (doi:10.1088/1751-8113/46/18/185205) (KAR id:33120)

Clarkson, Peter (2009) Rational solutions of the classical Boussinesq system. Nonlinear Analysis: Real World Applications, 10 (6 Spec). pp. 3360-3371. ISSN 1468-1218. (doi:10.1016/j.nonrwa.2008.09.019) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:23089)

Clarkson, Peter (2009) Vortices and Polynomials. Studies in Applied Mathematics, 123 (1). pp. 37-62. ISSN 0022-2526. (doi:10.1111/j.1467-9590.2009.00446.x) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:20510)

Clarkson, Peter (2008) Rational Solutions Of The Boussinesq Equation. Analysis and Applications, 6 (4). pp. 349-369. ISSN 0219-5305. (doi:10.1142/S0219530508001250) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:13229)

Clarkson, Peter (2008) The fourth Painleve equation. . (KAR id:23090)

Clarkson, Peter, Filipuk, Galina V. (2008) The symmetric fourth Painleve hierarchy and associated special polynomials. Studies in Applied Mathematics, 121 (2). pp. 157-188. ISSN 0022-2526. (doi:10.1111/j.1467-9590.2008.00410.x) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:12925)

Clarkson, Peter (2008) Asymptotics of the second Painleve equation. In: Dominici, Diego and Maier, Robert, eds. Special Functions and Orthogonal Polynomials: AMS Special Session on Special Functions and Orthogonal Polynomials. Contemporary Mathematics . American Mathematical Society, Providence, Rhode Island, USA, pp. 69-83. ISBN 978-0-8218-4650-6. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:13299)

Clarkson, Peter, Joshi, Nalini, Mazzocco, M., Nijhoff, Frank W., Noumi, M. (2006) One hundred years of PVI, the Fuchs–Painlevé equation - Preface. Journal of Physics A: Mathematical and General, 39 (39). ISSN 0305-4470. (doi:10.1088/0305-4470/39/39/E01) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3253)

Clarkson, Peter (2006) Painleve equations - nonlinear special functions. In: Marcellan, Francisco and van Asschel, Walter, eds. Orthogonal Polynomials and Special Functions: Computation and Application. Lecture Notes in Mathematics, 1883 . Springer-Verlag, Berlin/ Heidelberg, pp. 331-411. ISBN 978-3-540-31062-4. (doi:10.1007/978-3-540-36716-1_7) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:694)

Clarkson, Peter and Joshi, Nalini and Mazzocco, M. (2006) The Lax pair for the mKdV hierarchy. In: Delabaere, Eric and Loday-Richaud, Michele, eds. Théories Asymptotiques et Equations de Painlevé. Séminaires et Congrès (14). Sociètè Mathèematique de France, Paris, France, pp. 53-64. ISBN 978-2-85629-229-7. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3223)

Clarkson, Peter (2006) Special Polynomials Associated with Rational Solutions of the Painlevé Equations and Applications to Soliton Equations. Computational Methods and Function Theory, 6 (2). pp. 329-401. ISSN 1617-9447. (doi:10.1007/bf03321618) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:4048)

Clarkson, Peter (2006) Special polynomials associated with rational and algebraic solutions of the Painleve equations. In: Delabaere, Eric and Loday-Richaud, Michele, eds. Theories Asymptotiques et Equations de Painleve. Societe Mathematique de France, Paris, France, pp. 21-52. ISBN 978-2-85629-229-7. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3225)

Clarkson, Peter (2006) Special polynomials associated with rational solutions of the defocusing nonlinear Schrodinger equation and the fourth Painleve equation. European Journal of Applied Mathematics, 17 (3). pp. 293-322. ISSN 0956-7925. (doi:10.1017/S0956792506006565) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:701)

Clarkson, Peter (2005) Special polynomials associated with rational solutions of the fifth Painlevé equation. Journal of Computational and Applied Mathematics, 178 (1-2). pp. 111-129. ISSN 0377-0427. (doi:10.1016/j.cam.2004.04.015) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3246)

Clarkson, Peter (2005) Painlevé Equations and Associated Polynomials. In: Ismail, Mourad E. H. and Koelink, Erik, eds. Theory and Applications of Special Functions: A Volume Dedicated to Mizan Rahman. Developments in Mathematics (13). Springer, Berlin, pp. 123-163. ISBN 978-0-387-24231-6. (doi:10.1007/0-387-24233-3_7) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3245)

Clarkson, Peter (2003) On rational solutions of the fourth Painleve equation and its Hamiltonian. In: Winternitz, Pavel and Gomez-Ulldate, D. and Iserles, A. and Levi, Decio and Olver, Peter J. and Quispel, R. and Tempesta, P., eds. Group Theory and Numerical Analysis. CRM Proceedings & Lecture Notes (39). American Mathematical Society, United States, pp. 103-118. ISBN 0-8218-3565-3. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:4052)

Clarkson, Peter (2003) Remarks on the Yablonskii–Vorob'ev polynomials. Physics Letters A, 319 (1-2). pp. 137-144. ISSN 0375-9601. (doi:10.1016/j.physleta.2003.10.016) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3247)

Clarkson, Peter, Hone, Andrew N.W., Joshi, Nalini (2003) Hierarchies of Difference Equations and Bäcklund Transformations. Journal of Nonlinear Mathematical Physics, 10 . pp. 13-26. ISSN 1402-9251. (doi:10.2991/jnmp.2003.10.s2.2) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:4050)

Clarkson, Peter (2003) The fourth Painlevé equation and associated special polynomials. Journal of Mathematical Physics, 44 (11). pp. 5350-5374. ISSN 0022-2488. (doi:10.1063/1.1603958) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3254)

Clarkson, Peter (2003) The third Painlevé equation and associated special polynomials. Journal of Physics A: Mathematical and General, 36 (36). pp. 9507-9532. ISSN 0305-4470. (doi:10.1088/0305-4470/36/36/306) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3251)

Clarkson, Peter, Mansfield, Elizabeth L. (2003) The second Painleve equation, its hierarchy and associated special polynomials. Nonlinearity, 16 (3). R1-R26. ISSN 0951-7715. (doi:10.1088/0951-7715/16/3/201) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:691)

Clarkson, Peter (2003) Painlevé equations—nonlinear special functions. Journal of Computational and Applied Mathematics, 153 (1-2). pp. 127-140. ISSN 0377-0427. (doi:10.1016/S0377-0427(02)00589-7) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3248)

Clarkson, Peter and Cosgrove, C.M. (2002) Symmetry, the Chazy equation and Chazy hierarchies. In: Harnad, John and Its, Alexander, eds. Isomondromic Deformations and Applications in Physics. CRM Proceedings & Lecture Notes (31). American Mathematical Society, United States, pp. 113-129. ISBN 0-8218-2804-5. (doi:10.1090/crmp/031/09) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:4091)

Clarkson, Peter and Mansfield, Elizabeth L. and Webster, Helen N. (2002) On Discrete Painleve Equations as Backlund Transformations. In: Coley, Alan and Levi, Decio and Milson, Robert and Rogers, Colin and Winternitz, Pavel, eds. Backlund and Darboux Transformations: The Geometry of Solitons. CRM Proceedings and Lecture Notes (29). American Mathematical Society, United States, pp. 129-139. ISBN 978-0-8218-2803-8. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:4077)

Clarkson, Peter and Mansfield, Elizabeth L. (2002) Open problems in symmetry analysis. In: Leslie, Joshua, ed. The Geometrical Study of Differential Equations. Contemporary Mathematics (285). American Mathematical Society, United Kingdom, pp. 195-205. ISBN 0-8218-2964-5. (KAR id:20151)

Clarkson, Peter, Webster, Helen N. (2000) Hierarchies of exact solutions for the discrete third Painleve equation. Chaos, Solitons & Fractals, 11 (1-3). pp. 53-71. ISSN 0960-0779. (doi:10.1016/S0960-0779(98)00268-9) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:16287)

Clarkson, Peter, Mansfield, Elizabeth L., Webster, Helen N. (2000) On the relation between the continuous and discrete Painleve equations. Theoretical and Mathematical Physics, 122 (1). pp. 1-16. ISSN 0040-5779. (doi:10.1007/BF02551165) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:16285)

Clarkson, Peter, Joshi, Nalini, Pickering, Andrew (1999) Backlund transformations for the second Painleve hierarchy: a modified truncation approach. Inverse Problems, 15 (1). pp. 175-187. ISSN 0266-5611. (doi:10.1088/0266-5611/15/1/019) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:17219)

Clarkson, Peter, Priestley, T.J. (1999) Symmetries of a class of nonlinear fourth order partial differential equations. Journal of Nonlinear Mathematical Physics, 6 (1). pp. 66-98. ISSN 1402-9251. (doi:10.2991/jnmp.1999.6.1.6) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:17221)

Clarkson, Peter, Priestley, T.J. (1998) Shallow water wave systems. Studies in Applied Mathematics, 101 (4). pp. 389-432. ISSN 0022-2526. (doi:10.1111/1467-9590.00099) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:17649)

Clarkson, Peter, Gordoa, Pilar R., Pickering, Andrew (1997) Multicomponent equations associated to non-isospectral scattering problems. Inverse Problems, 13 (6). pp. 1463-1476. ISSN 0266-5611. (doi:10.1088/0266-5611/13/6/004) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:18355)

Clarkson, Peter, Mansfield, Elizabeth L., Priestley, T.J. (1997) Symmetries of a class of nonlinear third-order partial differential equations. Mathematical and Computer Modelling, 25 (8-9). pp. 195-212. ISSN 0895-7177. (doi:10.1016/s0895-7177(97)00069-1) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:18356)

Clarkson, Peter, Mansfield, Elizabeth L., Milne, Alice E. (1996) Symmetries and exact solutions of a (2+1)-dimensional sine-Gordon system. Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences., 354 (1713). pp. 1807-1835. ISSN 0261-0523. (doi:10.1098/rsta.1996.0079) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:18878)

Clarkson, Peter, Mansfield, Elizabeth L., Milne, Alice E. (1996) Symmetries and exact solutions of a 2+1 dimensional sine-Gordon equation. Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences., 354 . pp. 1807-1835. ISSN 0261-0523. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:23877)

Clarkson, Peter, Olver, Peter J. (1996) Symmetry and the Chazy equation. Journal of Differential Equations, 124 (1). pp. 225-246. ISSN 0022-0396. (doi:10.1006/jdeq.1996.0008) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:18879)

D

Dowie, Ellen (2018) Rational Solutions of Nonlinear Partial Differental Equations. Doctor of Philosophy (PhD) thesis, University of Kent,. (KAR id:66565)

H

Harris, Shirley E., Clarkson, Peter (2006) Painlevé Analysis and Similarity Reductions for the Magma Equation. Symmetry, Integrability and Geometry: Methods and Applications, 2 . ISSN 1815-0659. (doi:10.3842/SIGMA.2006.068) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:4046)

Hu, Xing-Bao, Clarkson, Peter (2002) Rational Solutions of an Extended Lotka-Volterra Equation. Journal of Nonlinear Mathematical Physics, 9 . pp. 75-93. ISSN 1402-9251. (doi:10.2991/jnmp.2002.9.s1.7) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:4049)

Hu, Xing-Bao, Clarkson, Peter (1998) Backlund transformations and nonlinear superposition formulae of a differential-difference KdV equation. Journal of Physics A: Mathematical and General, 31 (5). pp. 1405-1414. ISSN 0305-4470. (doi:10.1088/0305-4470/31/5/010) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:17827)

Hu, Xing-Bao, Clarkson, Peter, Bullough, Robin (1997) New integrable differential-difference systems. Journal of Physics A: Mathematical and General, 30 (20). L669-L676. ISSN 0305-4470. (doi:10.1088/0305-4470/30/20/002) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:18116)

Hu, Xing-Bao, Clarkson, Peter (1995) Rational Solutions of a Differential -Difference KDV Equation, the Equation and Equation and the discret Equetion. Journal of Physics A: Mathematical and General, 28 (17). pp. 5009-5016. ISSN 0305-4470. (doi:10.1088/0305-4470/28/17/029) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:19609)

I

Islam, Sanjida Piuli (2023) Special polynomials associated with rational solutions of Painlevé equations. Doctor of Philosophy (PhD) thesis, University of Kent,. (doi:10.22024/UniKent/01.02.100768) (KAR id:100768)

L

Liu, T. Y., Chiu, T. L., Clarkson, Peter, Chow, K. W. (2017) A connection between the maximum displacements of rogue waves and the dynamics of poles in the complex plane. Chaos: An Interdisciplinary Journal of Nonlinear Science, 27 (9). Article Number 091103. ISSN 1054-1500. E-ISSN 1089-7682. (doi:10.1063/1.5001007) (KAR id:64054)

Ludlow, David K., Clarkson, Peter, Bassom, Andrew P. (2000) New similarity solutions of the unsteady incompressible boundary-layer equations. Quarterly Journal of Mechanics and Applied Mathematics, 53 (2). pp. 175-206. ISSN 0033-5614. (doi:10.1093/qjmam/53.2.175) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:16343)

Ludlow, David K., Clarkson, Peter, Bassom, Andrew P. (1999) Similarity reductions and exact solutions for the two-dimensional incompressible Navier-Stokes equations. Studies in Applied Mathematics, 103 (3). pp. 183-240. ISSN 0022-2526. (doi:10.1111/1467-9590.00125) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:16911)

Ludlow, David K., Clarkson, Peter, Bassom, Andrew P. (1998) Nonclassical symmetry reductions of the three-dimensional incompressible Navier-Stokes equations. Journal of Physics A: Mathematical and General, 31 (39). pp. 7965-7980. ISSN 0305-4470. (doi:10.1088/0305-4470/31/39/012) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:17427)

M

Mansfield, Elizabeth L., Reid, G.J., Clarkson, Peter (1998) Nonclassical reductions of a 3+1-cubic nonlinear Schrodinger system. Computer Physics Communications, 115 (2-3). pp. 460-488. ISSN 0010-4655. (doi:10.1016/S0010-4655(98)00136-2) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:17435)

Milne, Alice E., Clarkson, Peter, Bassom, Andrew P. (1997) Application of the isomonodromy deformation method to the fourth Painleve equation. Inverse Problems, 13 (2). pp. 421-439. ISSN 0266-5611. (doi:10.1088/0266-5611/13/2/015) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:18191)

Mansfield, Elizabeth L., Clarkson, Peter (1997) Applications of the differential algebra package diffgrob2 to classical symmetries of differential equations. Journal of Symbolic Computation, 23 (5-6). pp. 517-533. ISSN 0747-7171. (doi:10.1006/jsco.1996.0105) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:18172)

Milne, Alice E., Clarkson, Peter, Bassom, Andrew P. (1997) Backlund transformations and solution hierarchies for the third Painleve equation. Studies in Applied Mathematics, 98 (2). pp. 139-194. ISSN 0022-2526. (doi:10.1111/1467-9590.00044) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:18192)

Mansfield, Elizabeth L., Clarkson, Peter (1997) Symmetries and exact solutions for a 2+1-dimensional shallow water wave equation. Mathematics and Computers in Simulation, 43 (1). pp. 39-55. ISSN 0378-4754. (doi:10.1016/S0378-4754(96)00054-7) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:18173)

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Rogers, Colin, Clarkson, Peter (2018) Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation. Journal of Nonlinear Mathematical Physics, 25 (2). pp. 247-261. ISSN 1402-9251. (doi:10.1080/14029251.2018.1452672) (KAR id:66445)

Rogers, Colin, Bassom, Andrew P., Clarkson, Peter (2018) On integrable Ermakov-Painlevé IV systems. Journal of Mathematical Analysis and Applications, 462 (2). pp. 1225-1241. ISSN 0022-247X. (doi:10.1016/j.jmaa.2018.02.025) (KAR id:66116)

Rogers, Colin, Clarkson, Peter (2017) Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System. Symmetry, Integrability and Geometry: Methods and Applications, 13 (18). Article Number 18. ISSN 1815-0659. (doi:10.3842/SIGMA.2017.018) (KAR id:61649)

Rogers, Colin and Clarkson, Peter (2017) Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System. [Preprint] (doi:10.48550/arXiv.1701.03238) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:59909)

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Smith, James (2016) Painleve Equations and Orthogonal Polynomials. Doctor of Philosophy (PhD) thesis, University of Kent. (KAR id:54758)

Sen, A., Hone, Andrew N.W., Clarkson, Peter (2006) On the Lax pairs of symmetric Painleve equations. Studies in Applied Mathematics, 117 (4). pp. 299-319. ISSN 0022-2526. (doi:10.1111/j.1467-9590.2006.00356.x) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3243)

Sen, A., Hone, Andrew N.W., Clarkson, Peter (2005) Darboux transformations and the symmetric fourth Painlevé equation. Journal of Physics A: Mathematical and General, 38 (45). pp. 9751-9764. ISSN 0305-4470. (doi:10.1088/0305-4470/38/45/003) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3250)